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2 years ago

1/2(3/2y+1/3)=-1/2(y-5/2)

Mathematics

1 answer:

jonny [76]2 years ago

6 0

Answer:

y = - 17/3

Step-by-step explanation:

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Last math question.

siniylev [52]

Answer:

Step-by-step explanation:

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-\text{slope}\\b-\text{y-intercept}\\\\\text{Let}\\\\k:y=m_1x+b_1\\l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2\\=========================$

$\text{We have}\ y=5x+2\to m_1=5\\\\\text{therefore}\ m_2=5.\\\\\text{Put the value of the slope and the coordinates of the given point (-2, 1)}\\\text{to the equation of a line:}\\\\1=5(-2)+b\\1=-10+b\qquad\text{add 10 to both sides}\\1+10=-10+10+b\\11=b\to b=11\\\\\text{Finally:}\\\\y=5x+11$

5 0

3 years ago

Find the area round to two decimal places as needed

Mademuasel [1]

To find the area of an obtuse triangle you have to multiply the base of the triangle by the vertical height and divide the result by 2 following the formula:

$A=\frac{b\cdot h}{2}$

The base of the triangle is b= 7 miles and the height is h= 8 miles, using these lengths calculate the area as follows:

$\begin{gathered} A=\frac{7\cdot8}{2} \\ A=\frac{56}{2} \\ A=28mi^2 \end{gathered}$

The area of the triangle is 28 square miles.

3 0

1 year ago

What should be multiplied with -25/36 to get -5/9

Ierofanga [76]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

$\frac{-\frac{5}{9}}{-\frac{25}{36}}=\\\\-\frac{5}{9}*(-\frac{36}{25})=\\\\\frac{4}{5}$

6 0

2 years ago

Given the formula C= 1/2t(c1-c2), solve for t.

kobusy [5.1K]

Answer:

$t=\frac{2C}{c1-c2}$

Step-by-step explanation:

$C=\frac{1}{2}t(c1-c2)\\2(C)=2(\frac{1}{2}t(c1-c2))\\2C=t(c1-c2)\\\frac{2C}{c1-c2}=\frac{t(c1-c2)}{c1-c2}\\t=\frac{2C}{c1-c2}$

3 0

2 years ago

Read 2 more answers

1. What is the area of the figure below?. . . 18 in². 30 in². 36 in². 60 in².

wel

Area of parallelogram<span>=</span><span>base x </span><span>height
Given :
Base = 12 in.
Height = 3 in.

Hence,
Area = 12 x 3
= 36 in. square</span>

6 0

2 years ago

Read 2 more answers